1011580812 has 252 divisors, whose sum is σ = 3028327008. Its totient is φ = 295099200.

The previous prime is 1011580799. The next prime is 1011580837. The reversal of 1011580812 is 2180851101.

1011580812 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 580 + 81 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16583262 + ... + 16583322.

Almost surely, 2^1011580812 is an apocalyptic number.

1011580812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011580812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514163504).

1011580812 is an abundant number, since it is smaller than the sum of its proper divisors (2016746196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011580812 is a wasteful number, since it uses less digits than its factorization.

1011580812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 1011580812 is about 31805.3582278207. The cubic root of 1011580812 is about 1003.8454641173.

The spelling of 1011580812 in words is "one billion, eleven million, five hundred eighty thousand, eight hundred twelve".